Question

In: Statistics and Probability

Suppose A consists of the people in the population who are asthmatic, and B consists of...

Suppose A consists of the people in the population who are asthmatic, and B consists of the people in the population who are allergic to cats. How would you describe the set (A∪B)∩(A¯∪B¯) in words?

Solutions

Expert Solution

(A U B) is the set of people who are either asthmatic or are allergic to cats

( U ) is the people that are either not asthmatic or are not allergic to cats. That is, all people except those who are both asthmatic and allergic to cats

(A U B) ( U ) consists of people belonging to both (A U B) and ( U ), that is, the people who are either allergic to cat but are not asthmatic or who are asthmatic but are not allergic to cats.

(A U B) ( U ) is shown in Venn Diagram given below


Related Solutions

1. The market for x and y in Waketowne consists of 5000 people. Of this population,...
1. The market for x and y in Waketowne consists of 5000 people. Of this population, 2500 have preferences for the two goods in which the consumers earn utility by U = (xy)^1/2. There are 1500 consumers who get utility from consuming the goods by U = x^3/5y^2/5. Finally, the other 1000 consumers have preferences of U = x^2/5y^3/5. All have a budget constraint of 25 = 10x + 5y. What is the market quantity of x demanded in Waketowne?...
A market consists of two population segments, A and B. An individual in segment A has...
A market consists of two population segments, A and B. An individual in segment A has demand for your product Q= 50 - P. An individual in segment B has demand for your product     Q = 120 - 2P. Segment A has 1000 people in it. Segment B has 1200 people in it. Total cost of producing Q units is TC = 5000 + 20Q. a)What is total market demand for your product? Assume that you must charge the same...
The country of Manhattan has an overall population of 5000. The population includes 500 people who are under the age of 16, 100 who are institutionalized
The country of Manhattan has an overall population of 5000. The population includes 500 people who are under the age of 16, 100 who are institutionalized, and 200 in jail and 300 in the military. Five hundred people are retired and do not work, while 600 are full time students. The total number of people who are working full time and part time is 2500. Out of the remaining population half of them have been looking for work within the...
Suppose that Rhode Island has a population of 1,023,948 people with nineteen representatives. Suppose that North...
Suppose that Rhode Island has a population of 1,023,948 people with nineteen representatives. Suppose that North Dakota has a population of 782,505 people with fifteen representatives. (a)Determine the average constituency for each State.(b)Determine which State is more poorly represented. Justify your answer. (c)Determine the relative unfairness of this apportionment.
(Please answer sub parts: A, B) The student population at the state college consists of 55%...
(Please answer sub parts: A, B) The student population at the state college consists of 55% females and 45% males. A. The college theater department recently staged a production of a modern musical. A researcher recorded the gender of each student entering the theater and found a total of 385 females and 215 males. Is the gender distribution for theater goers significantly different from the distribution for the general college? (Test at the .05 significance level using CV = 3.84)....
Suppose that a population consists of the six values 4, 8, 5, 3, 8, and 4....
Suppose that a population consists of the six values 4, 8, 5, 3, 8, and 4. (a) Find the population mean and variance. (b) Calculate the sampling distribution of the mean of a sample of size 3 by displaying all possible such samples (chosen without replacement). (c) Use the results from (b) to find the mean and variance of the sampling distribution. (d) Compare the answers from (c) with those obtained from the general formulas for E(X) and Var(X) derived...
Suppose the economy of Protoss consists of three people: Fenix, Zeratul, and Tassadar. The following table...
Suppose the economy of Protoss consists of three people: Fenix, Zeratul, and Tassadar. The following table shows their consumer spending at the given disposable income levels. Disposable income (each person) Fenix Consumption Zeratul Consumption Tassadar Consumption $2000 $1500 $1400 $1600 $4000 $2000 $1800 $2200 a. Identify each individual’s consumption function, i.e., the mathematical equation that describes the individual’s consumption schedule given income. (3 points) b. Draw the individuals’ consumption functions. Label the graph fully. (3 points) c. Identify aggregate consumption...
An asthmatic patient who was just administered a medication to help her breathe better begins complaining...
An asthmatic patient who was just administered a medication to help her breathe better begins complaining of tachycardia (increased heart rate). Upon further observation, you notice that her pupils are dilated, her heart rate has increased, and her blood glucose level is elevated. The most plausible explanation is that the medication is causing a. neuromuscular receptor activation b. alpha and beta receptor activation c. nicotinc and muscarinic receptor activation d. nicotinic receptor inhibition
Suppose you are trying to estimate the population mean for the number of Denver people that...
Suppose you are trying to estimate the population mean for the number of Denver people that will vote in the next election. You know there are 800,000 voters in Denver. You have sampled 41,000 Denver citizens and have calculated a sample mean of 150,000 likely voters in the next election. You believe the population standard deviation to be 80,000 voters. Please calculate a confidence interval for your sample mean, assuming you wish to be 95% confident.  
Suppose height and weight of people in a certain population are jointly normal with the mean...
Suppose height and weight of people in a certain population are jointly normal with the mean height of 180cm and mean weigh of 80kg. The corresponding standard deviations are 5cm and 6kg, respectively, and the correlation is equal to 0.6. a) What is the percentage of people whose weight exceeds 95kg among those 185cm tall? b) What is the percentage of people whose weight exceeds 95kg among those whose height is 175cm?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT